On integration with respect to a DT-measure

DT -measures generalize the topological measures of Aarnes. We continue to study an integral of a real-valued continuous function on compact Hausdorff space with respect to a DT -measure and investigate the following: multiplicativity of this integral, w ∗ -topology on the family of DT -measures and...

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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis Vol. 20; no. 3; pp. 579 - 598
Main Author: Svistula, Marina
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.09.2016
Springer Nature B.V
Subjects:
Calculus of Variations and Optimal Control; Optimization
Econometrics
Fourier Analysis
Integration
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Studies
Topological manifolds
Topology
w-topology
28C05
Integration
28C15
Topological measure
ISSN:1385-1292, 1572-9281
Online Access:Get full text
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Summary:DT -measures generalize the topological measures of Aarnes. We continue to study an integral of a real-valued continuous function on compact Hausdorff space with respect to a DT -measure and investigate the following: multiplicativity of this integral, w ∗ -topology on the family of DT -measures and density of various subfamilies of this space, and also integral as a set function.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-015-0373-1